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Finding the Fourth Proportional to 1,532.82, 2,299.23 and 378.57

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Solution

The fourth proportional to 1,532.82, 2,299.23 and 378.57 is: 567.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.82 : 2,299.23 = 378.57 : x
  2. Step 2: Convert to fraction form
    1,532.82/2,299.23 = 378.57/x
  3. Step 3: Cross multiply
    1,532.82x = 2,299.23 × 378.57
  4. Step 4: Simplify right side
    1,532.82x = 870,419.50
  5. Step 5: Solve for x
    x = 870,419.50/1,532.82
  6. Step 6: Final answer
    x = 567.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.